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Finding the Fourth Proportional to 504,709, 756,946.78 and 149,637.40

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Solution

The fourth proportional to 504,709, 756,946.78 and 149,637.40 is: 224,421.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,709 : 756,946.78 = 149,637.40 : x
  2. Step 2: Convert to fraction form
    504,709/756,946.78 = 149,637.40/x
  3. Step 3: Cross multiply
    504,709x = 756,946.78 × 149,637.40
  4. Step 4: Simplify right side
    504,709x = 113,267,548,097.57
  5. Step 5: Solve for x
    x = 113,267,548,097.57/504,709
  6. Step 6: Final answer
    x = 224,421.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.